Generate Equivalent Expressions

Writing Expressions

100

Four less than a number p

p - 4

200

5 more than the product of 10 and a number q

10q + 5

300

The quotient of 48 and a number z

48/z

400

The sum of 8, a number a, and a number b

8 + a + b

500

7 less than the quotient of 9 and a number q

9/q - 7

Combining Like Terms

100

4x + 7 - 3x

x + 7

200

4z - 8y + z - 2y

5z - 10y

300

2a - 7x + a - y

3a - 7x - y

400

10r - 18b - 12r

-2r - 18b

500

6(2x² - 5x) + 3x

12x² - 27x

Factoring

100

5x + 15

5(x + 3)

200

12b - 4

4(3b - 1)

300

3a - 9b + 18

3(a - 3b + 6)

400

-15d + 7f

Cannot be factored

500

Remove a negative factor:

-12x + 4y - 16z

-4(3x - y + 4z)

Distributive Property

100

3(2f + 7)

6f + 21

200

-2(3 - 5d)

-6 + 10d

300

-4(2x - 3y + 5d)

-8x + 12y - 20d

400

Distribute and Simplify:

6(-x + 4 - 2x)

-18x + 24

500

-p (4r - 5)

-4pr + 5p

Add/Subtract Expressions

100

(4x + 2) + (7 - x)

3x + 9

200

(-5x - 8) + (-x + 2)

-6x - 6

300

(5y - 13) - (2y + 2)

3y - 15

400

-6(2x + 12) - (x - 1)

-13x - 71

500

-3(-x + 3y) - 2(y + x)

x - 11y